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Uniform limit theorems under random truncation

Statistics Theory 2016-07-27 v1 Statistics Theory

Abstract

In this paper we study uniform versions of two limit theorems in random left truncation model (RLTM). The law of large numbers (LLN) and the central limit theorem (CLT) have been obtained under the bracketing entropy conditions in this setting. The uniform LLN and the uniform CLT of the present paper extend the one dimensional LLN and the one dimensional CLT under RLTM respectively.

Keywords

Cite

@article{arxiv.1607.07844,
  title  = {Uniform limit theorems under random truncation},
  author = {Vahid Fakoor and Raheleh. Zamini},
  journal= {arXiv preprint arXiv:1607.07844},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T15:04:54.114Z